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Title of Journal: Probab Theory Relat Fields

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Abbravation: Probability Theory and Related Fields

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Springer-Verlag

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DOI

10.1016/0022-3913(77)90294-3

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1432-2064

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Selector processes on classes of sets

Authors: Michel Talagrand
Publish Date: 2006/04/24
Volume: 135, Issue: 4, Pages: 471-486
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Abstract

Consider the random subset X of ℕ obtained by selecting independently each integer with a probability δ Consider a finite class Open image in new window of finite sets We describe a combinatorial quantity that is of the same order as Open image in new window We then give a related result allowing to compute the supremum of the empirical process on a class of sets

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Other Papers In This Journal:
  1. Loss without recovery of Gibbsianness during diffusion of continuous spins
  2. On the Dirichlet problem for asymmetric zero-range process on increasing domains
  3. Propagation and conditional propagation of chaos for pressureless gas equations
  4. Wasserstein space over the Wiener space
  5. Markov processes on partitions
  6. Quasi-stationary distributions for structured birth and death processes with mutations
  7. Outliers in the spectrum of iid matrices with bounded rank perturbations
  8. Product of random projections, Jacobi ensembles and universality problems arising from free probability
  9. Poincaré type inequalities on the discrete cube and in the CAR algebra
  10. The largest eigenvalue of small rank perturbations of Hermitian random matrices
  11. Invariance principle for the random conductance model
  12. Modified logarithmic Sobolev inequalities and transportation inequalities
  13. Asymptotic statistical equivalence for scalar ergodic diffusions
  14. Zero-temperature Glauber dynamics on $${\mathbb{Z}^d}$$
  15. The divergence of Banach space valued random variables on Wiener space
  16. A simple proof of exponential decay of subcritical contact processes
  17. Large deviations for many Brownian bridges with symmetrised initial-terminal condition
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